Question

A farmer has 60 bales of hay stored in his barn. He feeds his cows 4 bales each day. Which graph represents the number of bales in the barn, y, after feeding his cows for x days?

Answer 1

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Answer 2

Answer:

The required equation is $y=-4x+60$  and graph of this equation is shown below.

Step-by-step explanation:

Let y be the number of bales in the barn after feeding his cows for x days.

It is given that a farmer has 60 bales of hay stored in his barn.

Initial number of bales = 60

He feeds his cows 4 bales each day. It means number of bales decrease by 4 bales per day.

Slope = -4

The slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept or initial value.

Substitute m=-4 and b=60 in the above equation.

$y=-4x+60$

The y-intercept of the graph is 60.

The table of values is shown below

   x               y

   0             60

  15              0

Plot these these points on coordinate plane and connect them by a straight line.

The required graph is shown below.